A Müntz wavelets collocation method for solving fractional differential equations

DOI10.1007/s40314-018-0636-0zbMath1402.65075OpenAlexW2803409978MaRDI QIDQ1993534

Mohammad Maleki, Majid Tavassoli Kajani, M. Bahmanpour

Publication date: 5 November 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-018-0636-0

zbMATH Keywords

collocation methodJacobi polynomialsfractional differential equationsBoltzmann operatorMüntz polynomialsMüntz wavelets

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Related Items

An efficient collocation method with convergence rates based on Müntz spaces for solving nonlinear fractional two-point boundary value problems ⋮ Unnamed Item ⋮ An effective scheme for solving system of fractional Volterra-Fredholm integro-differential equations based on the Müntz-Legendre wavelets ⋮ Solving Fredholm integral equations of the first kind using Müntz wavelets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The construction of operational matrix of fractional derivatives using B-spline functions
• Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet
• On accurate product integration rules for linear fractional differential equations
• Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
• The Adomian decomposition method for solving partial differential equations of fractal order in finite domains
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Some remarks on differential equations of quadratic type
• The development of fractional calculus 1695-1900
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical solution of fractional order differential equations by extrapolation
• A predictor-corrector approach for the numerical solution of fractional differential equations
• An adaptive pseudospectral method for fractional order boundary value problems
• A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method
• The use of Jacobi wavelets for constrained approximation of rational Bézier curves
• On multistep methods for differential equations of fractional order
• Muntz type Theorems I
• Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations
• A new numerical technique for local fractional diffusion equation in fractal heat transfer
• A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets

This page was built for publication: A Müntz wavelets collocation method for solving fractional differential equations